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Finding the Fourth Proportional to 4,169.58, 6,256.08 and 1,828.38

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Solution

The fourth proportional to 4,169.58, 6,256.08 and 1,828.38 is: 2,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.58 : 6,256.08 = 1,828.38 : x
  2. Step 2: Convert to fraction form
    4,169.58/6,256.08 = 1,828.38/x
  3. Step 3: Cross multiply
    4,169.58x = 6,256.08 × 1,828.38
  4. Step 4: Simplify right side
    4,169.58x = 11,438,491.55
  5. Step 5: Solve for x
    x = 11,438,491.55/4,169.58
  6. Step 6: Final answer
    x = 2,743.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.